What is the least number of eggs he needs for this to be true?

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John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.

What is the least number of eggs he needs for this to be true?

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  • 4 Answer(s)

    301 eggs.

    silent47 Expert Answered on 23rd August 2015.
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    301 eggs
    When dividing the eggs by 2-6 one egg is left. The smallest  number that can be divided by 2,3,4,5,6 is 60. So we start with 61 and continue with steps of 60 until we find the number.

    Moshe Expert Answered on 10th January 2023.
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    301 eggs
    When dividing the eggs by 2-6 one egg is left. The smallest  number that can be divided by 2,3,4,5,6 is 60. So we start with 61 and continue with steps of 60 until we find the number.

    Moshe Expert Answered on 10th January 2023.
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    301 eggs
    When dividing the eggs by 2-6 one egg is left. The smallest  number that can be divided by 2,3,4,5,6 is 60. So we start with 61 and continue with steps of 60 until we find the number.

    Moshe Expert Answered on 10th January 2023.
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